Information on Result #644110
Linear OA(815, 23, F8, 12) (dual of [23, 8, 13]-code), using algebraic-geometric code AG(F,10P) based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(895, 100, F8, 64) (dual of [100, 5, 65]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(8115, 120, F8, 77) (dual of [120, 5, 78]-code) | [i] | ||
| 3 | Linear OA(879, 87, F8, 59) (dual of [87, 8, 60]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(888, 95, F8, 67) (dual of [95, 7, 68]-code) | [i] | ||
| 5 | Linear OA(897, 102, F8, 76) (dual of [102, 5, 77]-code) | [i] | ||
| 6 | Linear OA(880, 84, F8, 68) (dual of [84, 4, 69]-code) | [i] | ||
| 7 | Linear OA(8145, 149, F8, 124) (dual of [149, 4, 125]-code) | [i] | ||
| 8 | Linear OA(885, 90, F8, 68) (dual of [90, 5, 69]-code) | [i] | ||
| 9 | Linear OA(890, 94, F8, 76) (dual of [94, 4, 77]-code) | [i] | ||
| 10 | Linear OA(888, 96, F8, 65) (dual of [96, 8, 66]-code) | [i] | ||
| 11 | Linear OA(891, 99, F8, 67) (dual of [99, 8, 68]-code) | [i] | ||
| 12 | Linear OA(897, 104, F8, 73) (dual of [104, 7, 74]-code) | [i] | ||
| 13 | Linear OA(8132, 139, F8, 103) (dual of [139, 7, 104]-code) | [i] | ||
| 14 | Linear OA(8143, 150, F8, 111) (dual of [150, 7, 112]-code) | [i] | ||
| 15 | Linear OA(8132, 138, F8, 108) (dual of [138, 6, 109]-code) | [i] | ||
| 16 | Linear OA(268, 92, F2, 25) (dual of [92, 24, 26]-code) | [i] | Concatenation of Two Codes | |
| 17 | Linear OA(2137, 161, F2, 51) (dual of [161, 24, 52]-code) | [i] | ||
| 18 | Linear OOA(2114, 69, F2, 2, 51) (dual of [(69, 2), 24, 52]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 19 | Linear OOA(2111, 66, F2, 2, 51) (dual of [(66, 2), 21, 52]-NRT-code) | [i] | ||
| 20 | Linear OOA(2108, 63, F2, 2, 51) (dual of [(63, 2), 18, 52]-NRT-code) | [i] | ||
| 21 | Linear OOA(2114, 46, F2, 3, 51) (dual of [(46, 3), 24, 52]-NRT-code) | [i] | ||
| 22 | Linear OOA(2183, 69, F2, 3, 90) (dual of [(69, 3), 24, 91]-NRT-code) | [i] | ||
| 23 | Linear OOA(2177, 66, F2, 3, 90) (dual of [(66, 3), 21, 91]-NRT-code) | [i] | ||
| 24 | Linear OOA(2171, 63, F2, 3, 90) (dual of [(63, 3), 18, 91]-NRT-code) | [i] | ||
| 25 | Linear OA(818, 26, F8, 14) (dual of [26, 8, 15]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 26 | Linear OA(816, 26, F8, 12) (dual of [26, 10, 13]-code) | [i] | ✔ | |
| 27 | Linear OA(822, 30, F8, 16) (dual of [30, 8, 17]-code) | [i] | ✔ | |
| 28 | Linear OA(818, 30, F8, 12) (dual of [30, 12, 13]-code) | [i] | ✔ | |